Convert 3214five to base ten

3214base 5 is...

4+1*5 + 2*25+3*125

32145 = 3(5)^3 + 2(5)^2 + 1(5) + 4

= .....

Tell your teacher that this conversion between bases is rather silly, unless the bases are base 2 or base 16 (used in computers)

Also tell him there are 10 kinds of people,
those that understand binary and those that don't

well, my zip code is 10011011100011100 in binary. This is exactly what the computers in the US postal service store the zip code as. For all the good it does them.

Bob, I wonder if I mailed you a letter with

1371C16 as the code.
that would mess them up, eh?

To convert a number from a base five to base ten, you need to multiply each digit of the number by the corresponding power of five and then sum up the results.

Let's convert the number 3214five to base ten.

First, let's write out the number:

3 2 1 4five

Now, we multiply each digit by the corresponding power of five:

3 * 5^3 + 2 * 5^2 + 1 * 5^1 + 4 * 5^0

Simplifying the above expression:

3 * 125 + 2 * 25 + 1 * 5 + 4 * 1

Now, calculate the products:

375 + 50 + 5 + 4

Finally, sum up the products:

434

Therefore, 3214five is equal to 434 in base ten.